\begin{tikzpicture}
    \tkzDefPoints{0/0/B, 3.5/0/C, 2.5/2.5/A}
    \tkzDefPointOnLine[pos=0.4](A,B)  \tkzGetPoint{D}
    \tkzDefPointOnLine[pos=0.6](A,C)  \tkzGetPoint{E}
    \tkzInterLL(B,E)(C,D)  \tkzGetPoint{F}

    \tkzDrawPolygon(A,B,C)
    \tkzDrawSegments(B,E  C,D)
    \tkzLabelPoints[above](A,F)
    \tkzLabelPoints[below](B,C)
    \tkzLabelPoints[left](D)
    \tkzLabelPoints[right](E)
\end{tikzpicture}

